Respuesta :
The expression shows the area of the shaded region in terms of A and B are 4A + B, 1.5B, and 12A.
What is the area of the triangle?
The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.
Given
The area of one of the small right triangles outlined in blue is A cm2, while the area of the square outlined in red is B.
There are 4 triangles with an area of 4 so that is 4A and since there is only one square the area of the whole thing is 4A+B.
Each triangle is also equal to 1/8 of the square.
This means A=B/8 or B=8A.
First replacing B in the previous equation you get 4A+8A which is 12A.
Then replacing A with B/8 you get 4(B/8)+B which is B/2+B which is 3B/2 and 3/2 is 1.5 so 3/2B is equal to 1.5B.
Hence, the expression shows the area of the shaded region in terms of A and B are 4A + B, 1.5B, and 12A.
To know more about the area of the triangle click the link given below.
https://brainly.com/question/2009567
